First, determine the weight of 330 cans with the given conditions,
(330 cans) x (4 lbs / 100 cans) = 13.2 lbs
Then, the price is determined by multiplying this weight to the price that the recycling center is paying,
(13.2 lbs) x (25 cents / lb) = 330 cents = $3.3
Thus, Robert will be paid $3.3.
Refer to the attached image. If we draw a line parallel to segment BC, and this line goes through point D, then we'll form the new point E. Point E is on segment AB.
The parallelogram EBCD parallelogram forms. In fact, this figure is actually a rectangle due to the right (90 degree) angles. By definition, the opposite sides are parallel. Consequently, the opposite sides are congruent.
So,
BC = ED = 24
EB = CD = 4
AE+EB = AB
AE+4 = 5
AE = 1
Note how triangle AED is a right triangle with the right angle at angle E.
We can use the pythagorean theorem to find x
a^2 + b^2 = c^2
1^2 + 24^2 = c^2
1 + 576 = c^2
577 = c^2
c^2 = 577
c = sqrt(577)
c = 24.0208
If we round to the nearest tenth, then we get
24.0 which is the final answer (so the answer is choice C)Note: this is misleading as this implies that the hypotenuse is the same length as the leg, which is not the case. So this is one drawback to rounding.
Solutions
⇒ Given
Salary - $ 20
Spends - $ 14
The first step is to subtract 14 from 20. When we do this, we will know how much he saves.
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Calculations
20 - 14 = 6
He saves $ 6 each week.
Now we have to find how many times 6 goes into 300. To do this we have to divide.
300 ÷ 6 = 50
<span>It is going to take him 50 weeks. </span>
<SVT=90
<QVT or QT=180
<QVR and <UVT are 49 degrees so <SVR is 41 because 41+49 is 90
3x+4= 3(15)+4 = 45+4 = 49 so it's right
Speed = distance/time
Speed = 72 inches / 24 minutes
Speed = 3 inches per minute